101311100441 has 4 divisors (see below), whose sum is σ = 103222630692. Its totient is φ = 99399570192.

The previous prime is 101311100417. The next prime is 101311100479. The reversal of 101311100441 is 144001113101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 144001113101 = 193 ⋅746119757.

It can be written as a sum of positive squares in 2 ways, for example, as 93583987225 + 7727113216 = 305915^2 + 87904^2 .

It is a cyclic number.

It is not a de Polignac number, because 101311100441 - 2⁶ = 101311100377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101311100411) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 955765046 + ... + 955765151.

It is an arithmetic number, because the mean of its divisors is an integer number (25805657673).

Almost surely, 2^101311100441 is an apocalyptic number.

It is an amenable number.

101311100441 is a deficient number, since it is larger than the sum of its proper divisors (1911530251).

101311100441 is an equidigital number, since it uses as much as digits as its factorization.

101311100441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911530250.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101311100441 its reverse (144001113101), we get a palindrome (245312213542).

The spelling of 101311100441 in words is "one hundred one billion, three hundred eleven million, one hundred thousand, four hundred forty-one".